Math Problem Statement

Describe the transformations in g(x) = 0.25|x + 1| - 5 as it relates to the graph of the parent function. The graph of g(x) = 0.25|x + 1| - 5 is the graph of the parent function |x| and translated 1 unit and 5 units.

Solution

The question in your image asks you to describe the transformations in the function g(x)=0.25∣x+1∣−5g(x) = 0.25|x + 1| - 5 as it relates to the graph of the parent function f(x)=∣x∣f(x) = |x|.

Step-by-Step Breakdown of Transformations:

  1. Parent Function: The parent function is (

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Math Problem Analysis

Mathematical Concepts

Transformations
Absolute Value Functions

Formulas

g(x) = a|x - h| + k

Theorems

Transformation of Functions

Suitable Grade Level

Grades 9-11

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